0.2x+13+x=0.1(x+40)+4

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Solution for 0.2x+13+x=0.1(x+40)+4 equation:


Simplifying
0.2x + 13 + x = 0.1(x + 40) + 4

Reorder the terms:
13 + 0.2x + x = 0.1(x + 40) + 4

Combine like terms: 0.2x + x = 1.2x
13 + 1.2x = 0.1(x + 40) + 4

Reorder the terms:
13 + 1.2x = 0.1(40 + x) + 4
13 + 1.2x = (40 * 0.1 + x * 0.1) + 4
13 + 1.2x = (4 + 0.1x) + 4

Reorder the terms:
13 + 1.2x = 4 + 4 + 0.1x

Combine like terms: 4 + 4 = 8
13 + 1.2x = 8 + 0.1x

Solving
13 + 1.2x = 8 + 0.1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.1x' to each side of the equation.
13 + 1.2x + -0.1x = 8 + 0.1x + -0.1x

Combine like terms: 1.2x + -0.1x = 1.1x
13 + 1.1x = 8 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
13 + 1.1x = 8 + 0.0
13 + 1.1x = 8

Add '-13' to each side of the equation.
13 + -13 + 1.1x = 8 + -13

Combine like terms: 13 + -13 = 0
0 + 1.1x = 8 + -13
1.1x = 8 + -13

Combine like terms: 8 + -13 = -5
1.1x = -5

Divide each side by '1.1'.
x = -4.545454545

Simplifying
x = -4.545454545

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